The governor also wondered about the two students accused of taping Clementi, bragging about it online and then trying to catch him on video a second time.
"There might be some people who can take that type of treatment and deal with it, and there might be others, as this young man obviously was, who was much more greatly affected by it," Christie said. "I have to tell you, I don't know how those two folks are going to sleep at night, knowing that they contributed to driving that young man to that alternative."
The governor said he would not push to have the case prosecuted as a hate crime and would leave that up to the prosecutor. Middlesex County Prosecutor Bruce J. Kaplan indicated Thursday he would consider bias as an aggravating factor in bringing charges against the two students.
"Now that two individuals have been charged with invasion of privacy, we will be making every effort to assess whether bias played a role in the incident, and, if so, we will bring appropriate charges,'' Kaplan said.
Clementi's friends have been reeling since news of the suicide was confirmed Wednesday by the student's family.
"I am just devastated that this happened, especially to such an amazing person," Christina Guentert wrote to ABC News in an e-mail. "Tyler was a remarkable person in many ways; he was always kind, generous, sweet and loyal.
"He always had a smile on his face, and would joke around with me during class even on bad days," wrote Guentert, who went to school with Clementi for seven years in Ridgewood, N.J. "Tyler came off as innocent and sweet, the kind of person that you could rely on and go to for anything."
Clementi was enrolled in Rutger's music program and was an accomplished violinist.
"Not only was Tyler incredibly intelligent, but he was an amazing violin player," said Guentert. "He stood out at every school concert, and never seemed to get nervous. The music really came from his heart."
Friends of Clementi's said that he'd never had a girlfriend in high school and had never come out as gay. He was always focused on his role in the school orchestra, said friend Rob Righthand.
"He was one of those kids who never had a girlfriend and never had a boyfriend. You just thought he wasn't open for dating or anything like that," said Righthand.
"He was an incredible violin player. That was his No. 1 thing," said Righthand.
ABC News' Linsey Davis and Jerika Richardson contributed to this report.